College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 8 - Section 8.1 - Systems of Linear Equations: Substitution and Elimination - 8.1 Assess Your Understanding: 11

Answer

Both equations are true, so the solution is correct.

Work Step by Step

In order to verify that they are both solutions, we substitute the values of both variables into both equations to ensure that they produce a true result: $$ 3(2) - 4(.5) =4 \\ 4=4$$ For equation two: $$.5(2)-3(.5) = -.5 \\ -.5=-.5$$ Both equations are true, so the solution is correct.
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